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9036029952 = 2133340853
BaseRepresentation
bin10000110101001011…
…01110000000000000
3212022201212212211000
420122211232000000
5122001210424302
64052345252000
7436630662435
oct103245560000
925281785730
109036029952
113917670054
121902194000
13b10086ab1
1461a113b8c
1537d44731c
hex21a96e000

9036029952 has 112 divisors (see below), whose sum is σ = 26772443280. Its totient is φ = 3011936256.

The previous prime is 9036029929. The next prime is 9036029953. The reversal of 9036029952 is 2599206309.

It is a super-2 number, since 2×90360299522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9036029898 and 9036029907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9036029953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200758 + ... + 241610.

Almost surely, 29036029952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9036029952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13386221640).

9036029952 is an abundant number, since it is smaller than the sum of its proper divisors (17736413328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9036029952 is an equidigital number, since it uses as much as digits as its factorization.

9036029952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40888 (or 40858 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 9036029952 is about 95058.0346525216. The cubic root of 9036029952 is about 2082.8558797891.

The spelling of 9036029952 in words is "nine billion, thirty-six million, twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 9216 12288 13824 18432 24576 27648 36864 40853 55296 73728 81706 110592 122559 163412 221184 245118 326824 367677 490236 653648 735354 980472 1103031 1307296 1470708 1960944 2206062 2614592 2941416 3921888 4412124 5229184 5882832 7843776 8824248 10458368 11765664 15687552 17648496 20916736 23531328 31375104 35296992 41833472 47062656 62750208 70593984 83666944 94125312 125500416 141187968 167333888 188250624 251000832 282375936 334667776 376501248 502001664 564751872 753002496 1004003328 1129503744 1506004992 2259007488 3012009984 4518014976 9036029952